BTGmoderatorDC wrote:If a < b, is a < c?
(1) (a)(c) = 0
(2) a + b = 0
OA C
Source: EMPOWERgmat
Let's take each statement one by one.
(1) (a)(c) = 0
=> At least one between a and c is 0.
If a = 0, we see that c can be positive or negative. Thus, we cannot determine whether a < c. Insufficient.
(2) a + b = 0
Since a < b, a and b cannot be 0. Thus, a is negative and b is positive. However, since we do not have any information about c, we cannot conclude whether a < c. Insufficient.
(1) and (2) together
From (2), we know that a is negative; thus from (1), we must have c = 0. Thus, a < c. Sufficient.
The correct answer:
C
Hope this helps!
-Jay
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